[0001] The present invention relates to a permanent magnet motor, and more particularly
to an electric motor having a permanent magnet ring rotor capable of reducing cogging
torque and increasing a magnetic flux.
[0002] A conventionally implemented three-phase hybrid type stepping motor having a permanent
magnet ring rotor is discloses in Japanese Patent Application Laid-Open No. 14514/94
and Japanese Patent Application Laid-Open No. 131968/95.
[0003] However, no effective manner for reducing cogging torque and increasing a magnetic
flux with respect to such three-phase stepping motor has been obtained.
[0004] An unexpected magnetic flux flow could be observed according to the two dimensional
analysis of the magnetic field with respect to the conventionally implemented three-phase
hybrid type stepping motor having a permanent magnet ring motor, and it was found
that a shape of the magnetic pole could be improved.
[0005] FIG. 1 shows a structure of a permanent magnet type stepping motor of the original
design. The stepping motor comprises a stator iron core 1 and a rotor 4. The stator
iron core 1 comprises a cylindrical stator yoke, six magnetic poles 2 extending radially
from an inner peripheral surface of the stator yoke, a plurality of small stator teeth
3 formed on a tip end of each of the magnetic poles 2, and exiting windings (not shown)
each wound around each of the magnetic poles 2. The rotor 4 is arranged concentrically
with the stator iron core 1 and comprises a cylindrical permanent magnet 5 and a back
yoke 6 of a magnetic material intimately contacted with an inner peripheral surface
of the permanent magnet 5, an outer peripheral surface of the permanent magnet 5 facing
with a gap an inner peripheral surface formed of inner peripheral surfaces of the
small stator teeth 3. The permanent magnet 5 has P pieces of N pole and P pieces of
S pole arranged alternately in a peripheral direction thereof at equal intervals.
[0006] A depth of a groove formed between the small stator teeth 3 is 0.4mm, and a length
of the air gap between the inner peripheral surface of the small stator tooth 3 of
the stator iron core 1 and the outer peripheral surface of the rotor 4 is 0.06 mm.
[0007] The permanent magnet 5 has 32 pole pieces of radial anisotoropy made of neodymium
bond. It is considered that the figure of the permanent magnet 5, such as a square
form or locally cut does not affect on the result of calculation, so that such figure
is not considered in order to calculate economically.
[0008] For the FEM calculation, only an upper half portion of the magnet is considered to
utilize the periodicity, and the air gap is divided by an interval of 0.25 ° in order
to make sure the accuracy of the cogging torque, and the interlinkage magnetic flux
passing through the windings and the cogging torque are calculated by rotating until
one period of 22.5°with an interval of 0.75°.
[0009] FIG. 2A and FIG. 2B show flows of magnetic flux obtained by the analysis. According
to these figures, the following results can be obtained.
(1) A relatively large magnetic flux is passed through the groove between the small
stator teeth 3.
(2) There is a magnetic flux closed between the adjacent magnetic poles.
(3) An about 75 % of the total interlinkage magnetic flux passing through the windings
is entered into the central tooth and about 25 % of the total interlinkage magnetic
flux is entered into the teeth at the both sides.
(4) The magnetic flux passing through the central tooth is waved while passing through
the grooved portion and passed again through the teeth at the both sides.
[0010] It has been considered that a magnetic circuit is formed so that the magnetic flux
is hardly passed through the grooved potions, but the effective magnetic flux is passed
through in each of small stator teeth equally. However, in the actual motor, it is
found as stated above that the unexpected flow of the magnetic flux is generated.
The value of 3.36 E-5 (Wb) of the interlinkage magnetic flux coincides with the value
of 3.18 E-5 (Wb) of the interlinkage magnetic flux calculated from the actually measured
value of the induced voltage, so that the validity of the calculation is guaranteed.
[0011] Proposed designs as shown in a Table 1 are studied.
Table 1
Item |
conventional design ○ |
first plan ① |
second plan ② |
third plan ③ |
recommended value |
distance of small teeth |
20° |
22.5° |
21.25° |
21.25° |
21.25° |
width of small tooth |
2.0 |
1.6 |
1.6 |
2.2 |
2.2 |
depth of groove |
0.4 |
1.0 |
1.0 |
1.0 |
1.0 |
thickness of back yoke |
1.0 |
1.75 |
1.75 |
1.75 |
1.0 |
thickness of shoulder of magnetic pole |
1.1 |
1.5 |
1.5 |
1.5 |
0.9 |
calculation result |
interlinkage magnetic flux |
3.36E-5 (Wb) |
4.74 E-5 |
4.46E-5 |
4.6E-5 |
4.6E-5 |
|
cogging torque |
40.5 (gf.cm) |
319.3 |
17.2 |
22.3 |
22.0 |
[0012] Here, ○ is the conventional design, ①is a first plan, ②is a second plan, and ③is
a third plan.
[0013] In the first plan, the distance between adjacent small stator teeth is varied from
the short pitch of 88.9 % of the conventional design to the full pitch similar to
the magnetic pole period, the width of the small stator tooth and the depth of the
groove between the adjacent small stator teeth are so determined that the leakage
magnetic flux from the grooved portion is minimized, and the thickness of each of
the back yoke and the shoulder portion for connecting the small teeth of the magnetic
pole are so determined that the effect of the saturation becomes minimum.
[0014] As a result, the interlinkage magnetic flux is increased by 40 %, however, the first
plan is not favorable because the cogging torque is increased about eight times. The
calculation value of the wave form of the cogging torque is shown in FIG. 3.
[0015] It is apparent from the Table 1 that the cogging torque has an oscillation of sixth
harmonics as like as that in the other three-phase hybrid type stepping motor. In
case of normal m-phase motor, the cogging torque has 2mth harmonics. In order to remove
the sixth harmonics, in this case, a deviation angle of (120 ° / 2m/p = 1.25 °) at
which vectors are balanced at (360 °/s = 120 °) in the sixth harmonic plane is selected.
[0016] In the second and third plans, a pitch of 360 ° /p (1 - 1/2ms) = 21.25 ° is employed.
Here, s is a small teeth number per pole with winding, m is a phase number, and p
is pole pair number = 16. As a result, the cogging torque is similar to that in the
conventional design, but the interlinkage magnetic flux can be increased by 30 % and
more. Accordingly, an output may be increased by more than 30 % because the torque
is in proportion to the interlinkage magnetic flux. Further, the width of the small
stator tooth can be increased to some extent. In this case, a pitch smaller by the
deviation angle than the rotor magnetic pole pair pitch 360 ° /p is selected. However,
the same result can be obtained if a pitch 360 ° /p (1 + 1/2ms) = 23.75 ° larger by
the deviation angle than that is selected.
[0017] As stated above, it can be assumed that an optimum value is near the improved second
and third plans of the small tooth pitch 21.25°. However, it is necessary to determine
the optimum value in consideration of the following points;
(1) a preferable width of small tooth,
(2) a preferable depth of groove,
(3) a preferable thickness of the back yoke, and
(4) a preferable thickness of the shoulder connecting the small teeth of the magnetic
pole with winding.
[0018] Next, the effects applied on the interlinkage magnetic flux by the small tooth width
etc. are studied by the magnetic field analysis. Following results are obtained by
calculation the interlinkage magnetic flux by varying the small tooth width etc. on
the basis of the design of the best third plan ③in the Table 1.
(Effect of the small tooth width)
[0019] FIG. 4 shows calculated values of the interlinkage magnetic flux and the cogging
torque in case that the small tooth width is varied from 1.6 mm to 2.4 mm.
[0020] Here, the small tooth pitch is 0.944 mm, the small tooth depth is 1.0 mm, the thickness
of the shoulder is 1.5 mm, and the thickness of the back yoke is 1.75 mm.
[0021] The interlinkage magnetic flux becomes muximum when the small tooth width is 2.2
mm, which is a ratio of 0.431 to the magnetic pole pitch of 22.5°. The cogging torque
is not so affected by the small tooth width.
(Effect of the depth of the groove between adjacent small teeth)
[0022] FIG. 5 shows a relation between the calculated rate of the interlinkage magnetic
flux with respect to the conventional design (Table 1) in case that the depth of the
groove at the small teeth portion is varied from 0.4 mm to 1.6 mm.
[0023] Here, the small tooth pitch is 0.944 mm, the small tooth width is 2.2 mm, the thickness
of the shoulder is 1.5 mm, and the thickness of the back yoke is 1.75 mm.
[0024] It is understood that the interlinkage magnetic flux is increased uniformly according
to the increase of the depth of the groove.
[0025] If the depth of the groove becomes large, the effect thereof becomes saturated, so
that the depth of the groove of about 1.0 mm is preferable. If it is 1.0 mm, the interlinkage
magnetic flux is increased by about 35 % with respect to that of the conventional
design.
(Effects of the thicknesses of the shoulder portion and the back yoke )
[0026] FIG. 6 and FIG. 7 show the effects of the thickness of the shoulder portion of the
magnetic pole and the thickness of the back yoke to the interlinkage magnetic flux,
respectively.
[0027] It is noted that the interlinkage magnetic flux is not affected in the ranges of
the shoulder thickness and the back yoke shown in FIG. 6 and FIG. 7. The back yoke
thickness of more than 0.9 mm is necessary, because interlinkage magnetic flux is
slightly reduced at the thickness of 0.75 mm.
[0028] As stated above results, the values shown in the column of recommended value in Table
1 are preferable. FIG. 8 shows wave forms of the induced voltage in case of the recommended
value with respect to the conventional design or original. It is apparent from FIG.
8 that the amplitude is increased by about 37 % and the wave form is approached to
a sin wave.
[0029] FIG. 9 shows flows of magnetic flux. The distribution of the magnetic flux at each
of the small teeth is improved and the waved magnetic flux passing through the groove
is reduced compared with that in the conventional design shown in FIG. 2B. Further,
the thickness of the shoulder portion of the magnetic pole of 0.9 mm is sufficient
in view of the magnetic circuit. However, the thickness of the shoulder portion can
be increased as that in the conventional design in consideration of the mechanical
strength.
[0030] The present invention can be obtained by those new knowledge.
[0031] An object of the present invention is to provide a permanent magnet motor comprising
a stator and a permanent magnet rotor facing the stator with a gap therebetween, the
stator having a plurality of stator magnetic poles extending radially toward a peripheral
surface of the rotor, s number of small stator teeth formed on a tip end of each of
the magnetic poles, and exciting windings of m phases wound around the stator magnetic
poles, and the rotor having a cylindrical permanent magnet having pieces of N pole
and pieces of S pole arranged alternately in a peripheral direction thereof at equal
pitches, wherein a pitch of the small stator teeth is 1 ± 1/ (2ms) times larger than
a pitch of the rotor magnetic pole pairs.
[0032] Another object of the present invention is to provide a permanent magnet motor comprising
a stator and a permanent magnet rotor facing the stator with a gap therebetween, the
stator having a plurality of stator magnetic poles extending radially toward a peripheral
surface of the rotor, s number of small stator teeth formed on a tip end of each of
the magnetic poles, and exciting windings of three phases wound around the stator
magnetic poles, and the rotor having a cylindrical permanent magnet having pieces
of N pole and pieces of S pole arranged alternately in a peripheral direction thereof
at equal pitches, wherein a pitch of the small stator teeth is 1 ± 1/ (6s) times larger
than a pitch of the rotor magnetic pole pairs.
[0033] The width of the small stator tooth is 37 ∼ 47 % of the magnetic pole pitch.
[0034] The depth of the groove formed between the adjacent small stator teeth is more than
15 times larger than the length of the air gap between the stator and the rotor.
[0035] The forgoing and other objects, features, and advantages of the present invention
will become apparent from the following more particular description of preferred embodiments
of the invention, as illustrated in the accompanying drawings.
[0036] FIG. 1 shows a structure of a permanent magnet type stepping motor for explaining
the magnetic field analysis.
[0037] FIG. 2A shows flows of magnetic flux obtained by the analysis.
[0038] FIG. 2B is an enlarged view of a part of the magnetic flux shown in FIG. 2A.
[0039] FIG. 3 shows wave forms of a cogging torque.
[0040] FIG. 4 is a graph showing the relation between a small tooth width, interlinkage
magnetic flux and cogging torque.
[0041] FIG. 5 is a graph showing the relation between a groove depth and the interlinkage
magnetic flux.
[0042] FIG. 6 is a graph showing the relation between a thickness of shoulder portion of
the magnetic pole and the interlinkage magnetic flux.
[0043] FIG. 7 is a graph showing the relation between a thickness of a back yoke and the
interlinkage magnetic flux.
[0044] FIG. 8 is a graph showing wave forms of an induced voltage with respect to recommended
values and values in the conventional design.
[0045] FIG. 9 is an enlarged view of flows of magnetic flux.
[0046] A permanent magnet motor according to the present invention comprises a stator iron
core 1 and a permanent magnet rotor 4 facing the stator iron core 1 with a gap therebetween.
The stator iron core 1 comprised a cylindrical stator yoke, a plurality of stator
magnetic poles 2 extending radially from an inner peripheral surface of the rotor
yoke, s number of small stator teeth 3 formed on a tip end of each of the magnetic
poles 2, and exciting windings wound around the stator magnetic poles.
[0047] The rotor 4 comprises a cylindrical permanent magnet 5 having p pieces of N pole
and p pieces of S pole arranged alternately in a peripheral direction thereof at equal
pitches.
[0048] A pitch of the small stator teeth 3 is 1 ± 1/ (2ms) times larger than a pitch of
the rotor magnetic pole pairs. Here, m is a phase number of the permanent magnet motor
of the present invention.
[0049] In the other embodiment of the present invention, the pitch of the small stator teeth
3 is (1 ± 1/6s) times larger than the pitch of the rotor magnetic pole pairs.
[0050] The width of the small stator tooth is 37 ∼ 47 % of the magnetic pole pitch. The
depth of the groove formed adjacent small stator teeth 3 is more than 15 times larger
than the length of the air gap between the stator iron core 1 and the rotor 4.
[0051] In the present invention, a width of the small tooth 3 is set to 2.2 mm, whereas
the width of the conventional design is 2.0 mm.
[0052] A depth of groove between adjacent small stator teeth is set to not less than 1.0
mm, whereas the depth of the conventional design is 0.4 mm.
[0053] A thickness of a shoulder of the magnetic pole connecting adjacent small stator teeth
is set to about 0.9 mm, whereas the thickness of the convention design is 1.1 mm.
[0054] A thickness of the back yoke is set to 1.0 mm, whereas the thickness of the conventional
design is 1.0 mm.
[0055] According to the present invention, as stated above, the interlinkage magnet flux
can be increased and the cogging torque can be reduced.
[0056] While the invention has been particularly shown and described with reference to the
preferred embodiments thereof, it will be understood by those skilled in the art that
various changes in form and details may be made therein without departing from the
spirit and scope of the invention as defined by the appended claims.